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Finding the Fourth Proportional to 4,364, 6,548.10 and 2,172.92

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Solution

The fourth proportional to 4,364, 6,548.10 and 2,172.92 is: 3,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364 : 6,548.10 = 2,172.92 : x
  2. Step 2: Convert to fraction form
    4,364/6,548.10 = 2,172.92/x
  3. Step 3: Cross multiply
    4,364x = 6,548.10 × 2,172.92
  4. Step 4: Simplify right side
    4,364x = 14,228,497.45
  5. Step 5: Solve for x
    x = 14,228,497.45/4,364
  6. Step 6: Final answer
    x = 3,260.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.